Least Common Multiple (LCM) of 134 and 166
The least common multiple (LCM) of 134 and 166 is 11122.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 134 and 166?
First, calculate the GCD of 134 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 166 = 0 remainder 134 |
| 2 | 166 ÷ 134 = 1 remainder 32 |
| 3 | 134 ÷ 32 = 4 remainder 6 |
| 4 | 32 ÷ 6 = 5 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 140 | 7140 |
| 52 and 37 | 1924 |
| 182 and 167 | 30394 |
| 133 and 130 | 17290 |
| 89 and 45 | 4005 |